Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator

Authors: Rémi Azouit, Alain Sarlette, Pierre Rouchon, CDC 2015, Dec 15-18, 2015
We prove that a harmonic oscillator driven by Lindblad dynamics where the typical drive and loss channels are two-photon processes instead of single-photon ones, converges to a protected subspace spanned by two coherent states of opposite amplitude. We then characterize the slow dynamics induced by a perturbative single-photon loss on this protected subspace, by performing adiabatic elimination in the Lindbladian dynamics.
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BibTeX:
@Proceedings{2015-12-16,
author = {Rémi Azouit, Alain Sarlette, Pierre Rouchon},
editor = {},
title = {Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator},
booktitle = {CDC 2015},
volume = {},
publisher = {},
address = {},
pages = {},
year = {2015},
abstract = {We prove that a harmonic oscillator driven by Lindblad dynamics where the typical drive and loss channels are two-photon processes instead of single-photon ones, converges to a protected subspace spanned by two coherent states of opposite amplitude. We then characterize the slow dynamics induced by a perturbative single-photon loss on this protected subspace, by performing adiabatic elimination in the Lindbladian dynamics.},
keywords = {}}